Let the tangent and normal at the point (3 3,1) on the ellipse x^2 36 + y^2 4 =1 meet the y-axis at the...

Question

Let the tangent and normal at the point (3 3,1) on the ellipse x^2 36 + y^2 4 =1 meet the y-axis at the points A and B respectively. Let the circle C be drawn taking AB as a diameter and the line x = 2 5 intersect C at the points P and Q. If the tangents at the points P and Q on the circle intersect at the point ( , ), then ^2- ^2 is equal to

Accepted Answer

(C)

JEE Main 2023 Mathematics question

Solution